Countably regular good spaces and almost Cκ-spaces

In this paper, we build upon our previous studies by redefining fundamental concepts and transferring them from rings of continuous functions to rings of continuous functions with countable images. This article will focus on regular good spaces (``"RG-spaces", for short) and related concepts. Specifically, we introduce and examine two generalizations of RG-spaces, calling countably regular good spaces and strongly countably regular good spaces.